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ad-work [718]
3 years ago
14

If f(x)=|x+6|, find f(−10).

Mathematics
1 answer:
telo118 [61]3 years ago
7 0

Answer:

f(-10) = 4

Step-by-step explanation:

|x+6|

|(-10)+6|

|-4|

4

|| takes the absolute value of a number, meaning it turns negative numbers into positive numbers and keeps everything else the same.

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Chase has 3 gallons of a solution that is 30% antifeeze that he wants to use to winterize his car. How much pure antifreeze shou
makvit [3.9K]

Let  x gallons be the amount of pure antifreeze that should be added to the 30% solution to produce a solution that is 65% antifreeze. Then the total amount of antifreeze solution will be x+3 gallons.

There are 30% of pure antifreeze in 3 gallons of solution, then

3 gallons - 100%,

a gallons - 30%,

where a gallons is the amount of pure antifreeze in given solution.

Mathematically,

\dfrac{3}{a}=\dfrac{100}{30},\\ \\a=\dfrac{3\cdot 30}{100}=0.9\ gallons.

Now in new solution there will be x+0.9 gallons of pure antefreeze.

x+3 gallons - 100%,

x+0.9 - 65%

or

\dfrac{x+3}{x+0.9}=\dfrac{100}{65},\\ \\65(x+3)=100(x+0.9),\\ \\65x+195=100x+90,\\ \\35x=105,\\ \\x=3\ gallons.

Answer: he should add 3 gallons of pure antifreeze.

8 0
3 years ago
Two angels of a triangle measure 65 and 75. Which is not the measure of an exterior angle of the triangle
Andre45 [30]
An exterior angle is the sum of the two other interior angles 

<span>the three interior angles are 55 and 65 and 180-(55+65)=60 </span>

<span>so 60 + 55 = 115 </span>
<span>60 + 65 = 125 </span>
<span>65 + 55 = 120 
</span>
brainlest answer.
3 0
3 years ago
What is the equation of the line that passes through the point 3,-1 and has a slope of 2
LenaWriter [7]

Answer:

y=2x-7

Step-by-step explanation:

so here's my work

I just plugged stuff in so:

y+1=2(x-3)

y+1=2x-6

y=2x-7

3 0
3 years ago
The estimated velocity v (in miles per hour) of a car at the end of a drag race is v=234\sqrt[3]{p/w} , where p is the horsepowe
Dennis_Churaev [7]

Answer:

299 miles per hour

Step-by-step explanation:

v=\frac{234}{\sqrt[3]{\frac{p}{w}}}

v=\frac{234}{\sqrt[3]{\frac{1311}{2744}}}

v\approx299

Therefore, the velocity of the car at the end of a drag race is 299 miles per hour

8 0
3 years ago
How do I get to this answer step by step pleaseee quickly!!!!
frutty [35]

Answer:

Step-by-step explanation:

Direction: Opens Up

Vertex:  

(

3

,

−

4

)

Focus:  

(

3

,

−

15

4

)

Axis of Symmetry:  

x

=

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Directrix:  

y

=

−

17

4

Select a few  

x

values, and plug them into the equation to find the corresponding  

y

values. The  

x

values should be selected around the vertex.

Tap for more steps...

x

y

1

0

2

−

3

3

−

4

4

−

3

5

0

Graph the parabola using its properties and the selected points.

Direction: Opens Up

Vertex:  

(

3

,

−

4

)

Focus:  

(

3

,

−

15

4

)

Axis of Symmetry:  

x

=

3

Directrix:  

y

=

−

17

4

x

y

1

0

2

−

3

3

−

4

4

−

3

5

0

5 0
3 years ago
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